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Finding the Fourth Proportional to 8,138.98, 12,204.69 and 3,979.18

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Solution

The fourth proportional to 8,138.98, 12,204.69 and 3,979.18 is: 5,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.98 : 12,204.69 = 3,979.18 : x
  2. Step 2: Convert to fraction form
    8,138.98/12,204.69 = 3,979.18/x
  3. Step 3: Cross multiply
    8,138.98x = 12,204.69 × 3,979.18
  4. Step 4: Simplify right side
    8,138.98x = 48,564,658.35
  5. Step 5: Solve for x
    x = 48,564,658.35/8,138.98
  6. Step 6: Final answer
    x = 5,966.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.